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spayn [35]
3 years ago
15

*

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer: 6x + 8y =1,245

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each person:

Jack = The total cost (650) must be equal to the product of the number of shirts he bought (2) and the price per shirt (x); plus the product of the number of pair of jeans he bought (5) and the price per jean (y).

2 x+ 5 y=650

Dylan = The total cost (595) must be equal to the product of the number of shirts he bought (4) and the price per shirt (x); plus the product of the number of pair of jeans he bought (3) and the price per jean (y).

4x+3y = 595

Vertical addition:

2 x+ 5 y=650

+

4x+3y = 595

_________

6x + 8y =1,245

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Please help!!!! 30 pts
Sedbober [7]

We are given equation:

5/6 x -2 = -2/3 x +1.

Note: when we have fracions in an equation, we always try to get rid fractions by removing denominator parts.

In the given equation we have 6 and 3 in denominator. So, we need to find the common denominator (lowest common denomiantor) of 6 and 3.

The lowest common denomiantor of 6 and 3 is 6.

So, equation is being multiplied by 6 on both sides.

Therefore,

Step 1) Multiply each side by LCD of fractions.

6 ( 5/6 x -2 ) = 6 (-2/3 x +1)

Step 2) Use distributive property to simplify above step, we get

6* 5/6 x = 5x

6 * -2 = -12

6 * -2/3 x = -4x and

6 * 1 = 6.

Therefore, we get

5x - 12 = -4x + 6 on simplifying second step.

Step 3) We use Addition property of Equality in third step.

Because we have -4x on right side, and the reverse operation of subtraction is addition.

5x - 12 = -4x + 6

+4x        +4x    Step 4) Here we just did simplification of above step.

____________________

9x -12  = 6

  +12   +12     Step 5) Again applied Addition property of Equality to get rid -12 from left side.  

_______________

9x  = 18         Step 6) Here we just did simplification of above step.

Step 7) Because 9 is being multiplied with x on left side. To get rid 9 from left side we need to apply reverse operation of multiplication.

Therefore, Division property of equality is used there by dividing 9 on both sides.

9x/9 = 18/9  

Step 8) Again did simplification of above step.

x=2 Final answer.

3 0
3 years ago
Read 2 more answers
What is the exterior angle sum for a regular heptagon
Makovka662 [10]

Answer:

360 degrees

Step-by-step explanation:

The sum of exterior angles of a heptagon is 360 degrees. For regular heptagon, the measure of the interior angle is about 128.57 degrees. The measure of the central angle of a regular heptagon is approximately 51.43 degrees. The number of diagonals in a heptagon is 14.

4 0
3 years ago
Read 2 more answers
Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?
N76 [4]

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

#SPJ1

4 0
2 years ago
Which operation would be completed second in the following expression?
butalik [34]

Answer:

I THINK IT WILL BE HELPFUL

3 0
3 years ago
The measure of the smaller angle betwwn the hands of a clock at 5:00
GREYUIT [131]

Answer:

The angle between the hands of a clock at 5:00 is 150

Step-by-step explanation:

hope this helped

5 0
3 years ago
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